- The Berlekamp algorithm - NEW for 2009
- The Hopf fibration - NEW for 2009
- Conformal maps and SLE - NEW for 2009
- Quadratic Reciprocity - 2008
- Multilinear Algebra - 2008
- Tychonoff - 2007
- Periodic Continued Fractions - 2007
- Generating functions - 2006
- Nice group actions on the upper half plane - 2006
- The space of circles - 2006
- The space of metric spaces - 2006
- Constructing Brownian motion - 2006
- Solving elliptic PDEs - 2006
- Lie brackets and parking a car - 2006
- Banach Algebras - 2005
- Topological Groups and Duality - 2005
- The Stone Weierstrass Theorem - 2005
- The Urysohn Metrization Theorem - 2005
- Linear Differential Equations and the Jordan Form - 2004
- Combinatorial Topology of Dynamical Systems - 2004
- Geometric Aspects of Elliptic Curves - 2004
- Group Representations - 2004
- Topological Vector Spaces - 2004
- Weierstrass P Function - 2004
- Harmonic Analysis and the Distribution of Numbers - 2003
- Constructing the p-adic Numbers - 2003
- Modules over Principal Ideal Domains - 2003
- Winding Numbers - 2003
- Primes in an Arithmetic Progression - 2003
- Compact Hausdorff Spaces and C* algebras - 2003
- Calculating Rational Canonical Forms - 2003